Question

ENTERING INTERVAL ANSWERS

For intervals of values, enter your answer using interval notation. Here are some examples of how interval notation relates to inequalities:

Inequality Interval Notation
3< x <5 (3, 5)
3< x ≤5 (3, 5]
x > 3 (3, oo)
3< x <5 or 7 < x <9 (3,5) U (7, 9)

With inequalities, we use "less than" (<) or "greater than" (>) to exclude the endpoint of the interval. With interval notation, we use use round parentheses: ( , ).

With inequalities, we use "less than or equal to" (≤) or "greater than or equal to" (≥) to include the endpoint of the interval. With interval notation, we use use square brackets: [ , ].

To combine two intervals, use U (an uppercase letter u) for union: U.
Use oo (two lowercase letter o's) for infinity: oo
.

Try it now. Enter the interval equivalent to 2< x ≤ 5 or x > 7

Answer 1

The interval equivalent to the inequality \(2 < x \leq 5\) is \((2, 5]\), and the interval for \(x > 7\) is \((7, \infty)\).

Combining these two intervals using union notation results in:

\[
(2, 5] \cup (7, \infty)
\]

So, the final answer is:

\[
(2, 5] \cup (7, \infty)
\]